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The value of ЁЭСУ3/20|x| dx is ______. - Mathematics

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The value of `∫_0^(3"/"2)`|x| dx is ______.

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  • `1/8`

  • `9/8`

  • `9/4`

  • `3/4`

MCQ
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The value of `f_0^(3"/"2)`|x| dx is `bbunderline(9/8)`.

Explanation:

The integral ∫ x dx represents the area of a triangle with a base and height of `3/2`.

Using the area formula `(1/2 xx base xx height) gives 1/2 xx 3/2 xx 3/2`

= `9/8`

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